Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:automorphismGroup |
gptkb:S_3
|
| gptkbp:centralTo |
gptkb:Z_2_×_Z_2
|
| gptkbp:containsElement |
(0,0)
(0,1) (1,0) (1,1) |
| gptkbp:cyclic |
false
|
| gptkbp:exponent |
2
|
| gptkbp:generation |
(0,1)
(1,0) |
| gptkbp:hasSubgroup |
{(0,0), (0,1)}
{(0,0), (1,0)} {(0,0), (1,1)} |
| https://www.w3.org/2000/01/rdf-schema#label |
Z 2 × Z 2
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:Klein_four-group
|
| gptkbp:order |
4
|
| gptkbp:presentedBy |
⟨a,b | a^2 = b^2 = e, ab = ba⟩
|
| gptkbp:structure |
direct product
|
| gptkbp:used_in |
abstract algebra
group theory finite group classification symmetry groups |
| gptkbp:bfsParent |
gptkb:Klein_four-group
|
| gptkbp:bfsLayer |
5
|